Descripción: A general method is presented for computing matrix elements of quark operators on baryonic states with low strangeness and arbitrary number of colors N c . These results are useful in applications of the large N c expansion to baryons and exotics. As an application we compute the matrix elements of strangeness changing operators contributing to kaon couplings to ground state baryons and pentaquarks, in broken SU (3). © 2006 Elsevier B.V. All rights reserved.

Descripción: We compute the coefficients of the effective mass operator of the 1/N c expansion for negative parity L=1 excited baryons using the Isgur-Karl model in order to compare the general approach, where the coefficients are obtained by fitting to data, with a specific constituent quark model calculation. We discuss the physics behind the fitted coefficients for the scalar part of the most general two-body quark-quark interaction. We find that both pion exchange and gluon exchange lead to the dominance of the same operator at the level of the effective mass operator, which is also observed from data. © 2011 American Institute of Physics.

Descripción: We discuss the matching of the quark model to the effective mass operator of the 1/Nc expansion using the permutation group SN. As an illustration of the general procedure we perform the matching of the Isgur-Karl model for the spectrum of the negative parity L=1 excited baryons. Assuming the most general two-body quark Hamiltonian, we derive two correlations among the masses and mixing angles of these states which should hold in any quark model. These correlations constrain the mixing angles and can be used to test for the presence of three-body quark forces. © 2010 American Institute of Physics.

Descripción: We perform a dispersive theoretical study of the reaction γ γ → π0 π0 emphasizing the low energy region. The large source of theoretical uncertainty to calculate the γ γ → π0 π0 total cross section for sqrt(s) ≳ 0.5   GeV within the dispersive approach is removed. This is accomplished by taking one more subtraction in the dispersion relations, where the extra subtraction constant is fixed by considering new low energy constraints, one of them further refined by taking into consideration the f0 (980) region. This allows us to make sharper predictions for the cross section for sqrt(s) ≲ 0.8   GeV, below the onset of D-wave contributions. In this way, were new more precise data on γ γ → π0 π0 available one might then distinguish between different parameterizations of the ππ isoscalar S-wave. We also elaborate on the width of the σ resonance to γγ and provide new values. © 2007 Elsevier B.V. All rights reserved.

Descripción: We perform an analysis of the electroweak precision observables in the Lee-Wick Standard Model. The most stringent restrictions come from the S and T parameters that receive important tree level and one loop contributions. In general the model predicts a large positive S and a negative T. To reproduce the electroweak data, if all the Lee-Wick masses are of the same order, the Lee-Wick scale is of order 5 TeV. We show that it is possible to find some regions in the parameter space with a fermionic state as light as 2.4-3.5 TeV, at the price of rising all the other masses to be larger than 5-8 TeV. To obtain a light Higgs with such heavy resonances a fine-tuning of order a few per cent, at least, is needed. We also propose a simple extension of the model including a fourth generation of Standard Model fermions with their Lee-Wick partners. We show that in this case it is possible to pass the electroweak constraints with Lee-Wick fermionic masses of order 0.4-1.5 TeV and Lee-Wick gauge masses of order 3 TeV.